We investigate observational constraints on the running vacuum model(RVM)ofΛ=3v(H^2+K/a^2)+c0 in a spatially curved universe,where is the model parameter,K corresponds to the spatial curvature constant,represents the...We investigate observational constraints on the running vacuum model(RVM)ofΛ=3v(H^2+K/a^2)+c0 in a spatially curved universe,where is the model parameter,K corresponds to the spatial curvature constant,represents the scalar factor,and co is a constant defined by the boundary conditions.We study the CMB power spectra with several sets of and K in the RVM.By fitting the cosmological data,we find that the best fitted x^2 value for RVM is slightly smaller than that of CDM in the non-flat universe,along with the constraints of v≤O(10^-4)(68%C.L.)and|ΩK=-K/(aH)^2|≤O(10^-2)(95%C.L.).In particular,our results favor the open universe in both CDM and RVM.In addition,we show that the cosmological constraints of∑mv=0.256^+0.224-0.234(RVM)and∑mv=0.257^+0.219-0.234(ΛCDM)at 95%C.L.for the neutrino mass sum are relaxed in both models in the spatially curved universe.展开更多
基金Supported in part by National Center for Theoretical Sciences,MoST(MoST-107-2119-M-007-013-MY3)National Natural Science Foundation of China(11505004,11447104)the Anhui Provincial Natural Science Foundation of China(1508085QA17)。
文摘We investigate observational constraints on the running vacuum model(RVM)ofΛ=3v(H^2+K/a^2)+c0 in a spatially curved universe,where is the model parameter,K corresponds to the spatial curvature constant,represents the scalar factor,and co is a constant defined by the boundary conditions.We study the CMB power spectra with several sets of and K in the RVM.By fitting the cosmological data,we find that the best fitted x^2 value for RVM is slightly smaller than that of CDM in the non-flat universe,along with the constraints of v≤O(10^-4)(68%C.L.)and|ΩK=-K/(aH)^2|≤O(10^-2)(95%C.L.).In particular,our results favor the open universe in both CDM and RVM.In addition,we show that the cosmological constraints of∑mv=0.256^+0.224-0.234(RVM)and∑mv=0.257^+0.219-0.234(ΛCDM)at 95%C.L.for the neutrino mass sum are relaxed in both models in the spatially curved universe.
